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Finding the Fourth Proportional to 105.03, 145.01 and 80.42

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Solution

The fourth proportional to 105.03, 145.01 and 80.42 is: 111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.03 : 145.01 = 80.42 : x
  2. Step 2: Convert to fraction form
    105.03/145.01 = 80.42/x
  3. Step 3: Cross multiply
    105.03x = 145.01 × 80.42
  4. Step 4: Simplify right side
    105.03x = 11,661.30
  5. Step 5: Solve for x
    x = 11,661.30/105.03
  6. Step 6: Final answer
    x = 111.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.